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Finding the Third Proportional to 1,634,299,334 and 2,293,245,492

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Solution

The third proportional to 1,634,299,334 and 2,293,245,492 is: 3,217,877,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,299,334 : 2,293,245,492 = 2,293,245,492 : x
  2. Step 2: Convert to fraction form
    1,634,299,334/2,293,245,492 = 2,293,245,492/x
  3. Step 3: Cross multiply
    1,634,299,334x = 2,293,245,492 × 2,293,245,492
  4. Step 4: Simplify right side
    1,634,299,334x = 5,258,974,886,578,322,432
  5. Step 5: Solve for x
    x = 5,258,974,886,578,322,432/1,634,299,334
  6. Step 6: Final answer
    x = 3,217,877,396.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.